what’s up with a cusp?
Post on 14-Feb-2016
42 Views
Preview:
DESCRIPTION
What’s up with a cusp?. Today, students will identify points of non-differentiability and check to see if:. Continuity and Differentiability. Explain why a function must be continuous at x=c to be differentiable at x=c. The graph below might help you. Funky Functions, Part I. - PowerPoint PPT Presentation
TRANSCRIPT
What’s up with a cusp?
Today, students will identify points of non-differentiability and check to see
if: lim ' lim '
x a x af x f x
2
Continuity and Differentiability
• Explain why a function must be continuous at x=c to be differentiable at x=c. The graph below might help you.
3
Funky Functions, Part I
4
5
Funky Functions, Part I
6
7
Using the definition of derivative:
• Use the definition of the derivative as a limit to find the slope function f’(x) of f(x)=4x2-3. Then use your slope function to find f’(11) and f’(1000).
8
Absolute Value
9
What’s wrong with this picture?
10
Curve Constructor – Part 2
11
Curve Constructor – Part 2
12
Assignment:
•HW L
• See you tmrrw!!!
top related